On a class of nonlocal problems with fractional gradient constraint
Assis Azevedo
Universidade do Minho, Braga, PortugalJosé-Francisco Rodrigues
Universidade de Lisboa, PortugalLisa Santos
Universidade do Minho, Braga, Portugal
Download Chapter PDF
This book chapter is published open access.
Abstract
We consider a Hilbertian and a charges approach to fractional gradient constraint problems of the type , involving the distributional fractional Riesz gradient , , extending previous results on the existence of solutions and Lagrange multipliers of these nonlocal problems.
We also prove their convergence as towards their local counterparts with the gradient constraint .